Title :
Delay-dependent H∞ control for stochastic genetic regulatory networks with interval time-varying delays
Author :
Zeng Jin ; He Yong ; Wu Min ; Fu Lingyun
Author_Institution :
Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China
Abstract :
This paper is concerned with H∞ control for a new genetic regulatory network (GRN) model with both intrinsic perturbation and extrinsic perturbation. A delay- and range-dependent criterion for a given H∞ performance is established via employing an improved free-weighting matrix approach. At the same time, H∞ feedback controllers are designed to regulate the noise influences. To demonstrate the effectiveness of the obtained theoretical results, two numerical examples are presented in this paper.
Keywords :
H∞ control; biocontrol; control system synthesis; delay systems; delays; feedback; genetics; matrix algebra; performance index; stochastic systems; H∞ feedback controller design; H∞ performance; delay-dependent H∞ control; extrinsic perturbation; free-weighting matrix approach; interval time-varying delays; intrinsic perturbation; range-dependent criterion; stochastic genetic regulatory network; Adaptive control; Delay; Delay effects; Genetics; Noise; Stability analysis; Stochastic processes; Free-weighting matrix approach; Genetic regulatory networks; H∞ control; Stochastic perturbation; Time-varying delay;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
